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2230740 = 2238517
BaseRepresentation
bin1000100000100111010100
311012100000000
420200213110
51032340430
6115451300
724650421
oct10404724
94170000
102230740
111293a96
128b6b30
13601485
14420d48
152e0e60
hex2209d4

2230740 has 108 divisors (see below), whose sum is σ = 7439796. Its totient is φ = 559872.

The previous prime is 2230727. The next prime is 2230759. The reversal of 2230740 is 470322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 944784 = 1134^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×22307403 = 33301831505547672000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131212 + ... + 131228.

It is an arithmetic number, because the mean of its divisors is an integer number (68887).

22230740 is an apocalyptic number.

2230740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719898).

2230740 is an abundant number, since it is smaller than the sum of its proper divisors (5209056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2230740 is an equidigital number, since it uses as much as digits as its factorization.

2230740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2230740 is about 1493.5662020814. The cubic root of 2230740 is about 130.6621053292.

The spelling of 2230740 in words is "two million, two hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 729 765 810 918 972 1020 1215 1377 1458 1530 1620 1836 2187 2295 2430 2754 2916 3060 3645 4131 4374 4590 4860 5508 6561 6885 7290 8262 8748 9180 10935 12393 13122 13770 14580 16524 20655 21870 24786 26244 27540 32805 37179 41310 43740 49572 61965 65610 74358 82620 111537 123930 131220 148716 185895 223074 247860 371790 446148 557685 743580 1115370 2230740